# Mechanical Energy Formula

Mechanical energy is the total amount of kinetic energy and potential energy of an object that is used to do a specific work. Mechanical energy can also be defined as the energy of an element due to its position or motion or both. The potential energy of an object is due to its position and kinetic energy is due to its motion. The potential energy of an object is zero when it is in the movement and kinetic energy is zero when the object is in rest.

The formula of mechanical energy is

M.E = K. E + P.E

M.E = Â½ mv2 + mgh

Where

m = mass of an object

v = velocity of that object

g = acceleration due to gravity

h Â = Â height of an object.

Example 1

AÂ manÂ isÂ sittingÂ onÂ a 20Â mÂ heightÂ buildingÂ and hisÂ massÂ isÂ 50Â kg. Calculate theÂ mechanicalÂ energy?

Solution:

Given parameters are,

m = 50 kg

h = 20m

the man is not moving, therefore, K. E = 0

The formula of mechanical energyÂ

M.E = 1/2Â mv2 + mgh

Since K.E is 0, the equation becomes,

M.E = mgh

M.EÂ = 50 Ã—9.81 Ã—20

M.EÂ  = 9810 J

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